2018/03/12 by M. Ehsan Raoufat, Raoufat, M. Ehsan, Seddik M. Djouadi +1 · 1 citation
Computer Science · Engineering · #Adaptive Control of Nonlinear Systems #Distributed Control Multi-Agent Systems #FOS: Electrical engineering #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1803.04544
openalex publication_date 2018/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper presents an explicit solution to decentralized control of a class of spatially invariant systems. The problem of optimal H2 decentralized control for cone causal systems is formulated. Using Parseval's identity, the optimal H2 decentralized control problem is transformed into an infinite number of model matching problems with a specific structure that can be solved efficiently. In addition, the closed-form expression (explicit formula) of the decentralized controller is derived for the first time. In particular, it is shown that the optimal decentralized controller is given by a specific positive feedback scheme. A constructive procedure to obtain the state-space representation of the decentralized controller is provided. A numerical example is given and compared with previous works which demonstrate the effectiveness of the proposed method.